On Existence of Minimal Elements of Vector-valued Functions in Ordered Space

Zhang Qiu-yuan; Gong Li-yan

doi:10.3969/j.issn.1007-7162.2015.04.022

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On Existence of Minimal Elements of Vector-valued Functions in Ordered Space

更新时间：2026-05-27

- On Existence of Minimal Elements of Vector-valued Functions in Ordered Space
- Vol. 32, Issue 4, Pages: 123-126(2015)
- 作者机构：
- 作者简介：
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- DOI：10.3969/j.issn.1007-7162.2015.04.022
  CLC：
- Online First：04 December 2015，
  
  Published：2015
- 稿件说明：
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张秋园, 龚丽燕. 序空间中向量值映射极小元的存在性[J]. 广东工业大学学报, 2015, 32(4): 123-126.

Zhang Qiu-yuan, Gong Li-yan. On Existence of Minimal Elements of Vector-valued Functions in Ordered Space[J]. 2015, 32(4): 123-126.
张秋园, 龚丽燕. 序空间中向量值映射极小元的存在性[J]. 广东工业大学学报, 2015, 32(4): 123-126. DOI： 10.3969/j.issn.1007-7162.2015.04.022.

Zhang Qiu-yuan, Gong Li-yan. On Existence of Minimal Elements of Vector-valued Functions in Ordered Space[J]. 2015, 32(4): 123-126. DOI： 10.3969/j.issn.1007-7162.2015.04.022.

摘要

在序空间中讨论了锥上方下半连续的向量值映射的极小元的存在性，得到了这类映射存在极小元和最小元的两个结果，并对H.W.Corley提出的锥半紧集，指出了锥半紧集不一定是闭集.

Abstract

This article discusses the existence of minimal elements of cone lower semi-continuous mapping in ordered space. The researchers obtain two results on the existence of minimal elements and the smallest elements of such functions. It also points out that a cone-semicompact set raised by H.W.Corley is not a necessarily closed set.

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